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Finding the Fourth Proportional to 928.88, 1,393.18 and 409

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Solution

The fourth proportional to 928.88, 1,393.18 and 409 is: 613.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.88 : 1,393.18 = 409 : x
  2. Step 2: Convert to fraction form
    928.88/1,393.18 = 409/x
  3. Step 3: Cross multiply
    928.88x = 1,393.18 × 409
  4. Step 4: Simplify right side
    928.88x = 569,810.62
  5. Step 5: Solve for x
    x = 569,810.62/928.88
  6. Step 6: Final answer
    x = 613.44

Related Problems

Find fourth proportional to 464.44, 696.59 and 204.50
Half scale
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Double scale
Find fourth proportional to 929.88, 1,394.68 and 410
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.